Lie–Poisson deformation of the Poincaré algebra

DOI10.1063/1.531498zbMath0865.17011arXivq-alg/9505030OpenAlexW3123102964WikidataQ115329253 ScholiaQ115329253MaRDI QIDQ5284462

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Publication date: 13 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9505030

zbMATH Keywords

Poisson-Lie groupsPoisson bracketsdeformed Poincaré algebraquadratic Poisson structuresspinning and spinless particles

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum optics (81V80) Geometric quantization (53D50)

Related Items (1)

TOWARDS CONSTRUCTING ONE-PARTICLE REPRESENTATIONS OF THE DEFORMED POINCARÉ ALGEBRA

Cites Work

• Quantum deformation of Lorentz group
• Reflection equations and \(q\)-Minkowski space algebras
• \(q\)-deformed relativistic one-particle states
• Quadratic brackets from symplectic forms
• DEFORMATION QUANTIZATION OF THE ISOTROPIC ROTATOR
• A q-deformed Lorentz algebra
• q-deformed relativistic wave equations
• Lorentz transformations as Lie–Poisson symmetries

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